## Abstract The author establishes the essential estimations, the __L__^__p__^ ~__loc__~ and the __C__^__α__^ estimations of |∇__u__~__ε__~ |, where __u__~__ε__~ is the minimizer of a Ginzburg–Landau type functional. Based on the results, the corresponding convergences (when __ε__ → 0) of themin
Radial minimizers of -Ginzburg–Landau type with
✍ Scribed by Yutian Lei
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 827 KB
- Volume
- 69
- Category
- Article
- ISSN
- 0362-546X
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📜 SIMILAR VOLUMES
This paper is concerned with the asymptotic analysis of a minimizer of an n-Ginzburg-Landau-type functional. When the dimension n = 2, the asymptotic properties were well studied, such as the convergence of the minimum of the energy, the behavior of the minimizer near its zero points, and the quanti
The author studies the weak convergence for the gradient of the minimizers for a second order energy functional when the parameter tends to 0. And this paper is also concerned with the location of the zeros and the blow-up points of the gradient of the minimizers of this functional. Finally, the str